418.46 is what percent of 447 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 447 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 447, so we can write it down as 100%=447.
4. We know, that x% equals 418.46 of the output value, so we can write it down as x%=418.46.
5. Now we have two simple equations:
1) 100%=447
2) x%=418.46
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=447/418.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 418.46 is what percent of 447

100%/x%=447/418.46
(100/x)*x=(447/418.46)*x       - we multiply both sides of the equation by x
100=1.0682024566267*x       - we divide both sides of the equation by (1.0682024566267) to get x
100/1.0682024566267=x
93.615212527964=x
x=93.615212527964

now we have:
418.46 is 93.615212527964% of 447